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arXiv · 1608.01636

On the criteria for integrability of the Liénard equation

Nikolai A. Kudryashov·Dmitry I. Sinelshchikov
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Abstract

The Liénard equation is of a high importance from both mathematical and physical points of view. However a question about integrability of this equation has not been completely answered yet. Here we provide a new criterion for integrability of the Liénard equation using an approach based on nonlocal transformations. We also obtain some of previously known criteria for integrability of the Liénard equation as a straightforward consequences of our approach's application. We illustrate our results by several new examples of integrable Liénard equations.

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Nikolai A. Kudryashov, Dmitry I. Sinelshchikov. 2016-08-04. On the criteria for integrability of the Liénard equation. https://doi.org/10.1016/j.aml.2016.01.012

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